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Finding the Fourth Proportional to 2,601.41, 3,902.12 and 653.61

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Solution

The fourth proportional to 2,601.41, 3,902.12 and 653.61 is: 980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.41 : 3,902.12 = 653.61 : x
  2. Step 2: Convert to fraction form
    2,601.41/3,902.12 = 653.61/x
  3. Step 3: Cross multiply
    2,601.41x = 3,902.12 × 653.61
  4. Step 4: Simplify right side
    2,601.41x = 2,550,461.39
  5. Step 5: Solve for x
    x = 2,550,461.39/2,601.41
  6. Step 6: Final answer
    x = 980.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.